Date | May 2014 | Marks available | 4 | Reference code | 14M.3.sl.TZ1.12 |
Level | SL | Paper | 3 | Time zone | TZ1 |
Command term | Determine | Question number | 12 | Adapted from | N/A |
Question
Maalox® manufactures several different types of antacid. Maalox® Extra Strength is a suspension. One teaspoon (\({\text{5.00 c}}{{\text{m}}^{\text{3}}}\)) contains 400 mg of magnesium hydroxide, \({\text{Mg(OH}}{{\text{)}}_{\text{2}}}\), 306 mg of aluminium hydroxide, \({\text{Al(OH}}{{\text{)}}_{\text{3}}}\), and 40.0 mg of simethicone. Maalox® Extra Strength with Anti-gas comes in tablet form. Each tablet contains 1000 mg of calcium carbonate, \({\text{CaC}}{{\text{O}}_{\text{3}}}\), and 60.0 mg of simethicone.
Stomach acid approximates to \(1.00 \times {10^{ - 2}}{\text{ mol}}\,{\text{d}}{{\text{m}}^{ - 3}}\) hydrochloric acid. Assuming that simethicone does not react with acid, determine the volume, in \({\text{d}}{{\text{m}}^{\text{3}}}\), of stomach acid neutralized by:
State the equations for the reactions of magnesium hydroxide, aluminium hydroxide and calcium carbonate with hydrochloric acid.
Magnesium hydroxide:
Aluminium hydroxide:
Calcium carbonate:
(i) one teaspoon (\({\text{5.00 c}}{{\text{m}}^{\text{3}}}\)) of Maalox® Extra Strength.
(ii) one tablet of Maalox® Extra Strength with Anti-gas.
Markscheme
\({\text{Mg(OH}}{{\text{)}}_{\text{2}}} + {\text{2HCl}} \to {\text{MgC}}{{\text{l}}_{\text{2}}} + {\text{2}}{{\text{H}}_{\text{2}}}{\text{O}}\);
\({\text{Al(OH}}{{\text{)}}_3} + {\text{3HCl}} \to {\text{AlC}}{{\text{l}}_3} + {\text{3}}{{\text{H}}_2}{\text{O}}\);
\({\text{CaC}}{{\text{O}}_3} + {\text{2HCl}} \to {\text{CaC}}{{\text{l}}_2} + {{\text{H}}_2}{\text{O}} + {\text{C}}{{\text{O}}_2}\);
Accept H2CO3 for H2O and CO2.
(i) amount of \({\text{Mg(OH}}{{\text{)}}_2} = \left( {\frac{{0.400}}{{(24.31 + 32.00 + 2.02)}} = \frac{{0.400}}{{58.33}} = } \right){\text{ }}6.86 \times {10^{ - 3}}{\text{ (mol)}}\)
and amount of \({\text{Al(OH}}{{\text{)}}_3} = \left( {\frac{{0.306}}{{(26.92 + 48.00 + 3.03)}} = \frac{{0.306}}{{77.95}} = } \right){\text{ }}3.93 \times {10^{ - 3}}{\text{ (mol)}}\);
amount of HCl reacting \( = (2 \times 6.86 \times {10^{ - 3}}) + (3 \times 3.93 \times {10^{ - 3}}) = 2.55 \times {10^{ - 2}}{\text{ (mol)}}\) so volume of \(1.00 \times {10^{ - 2}}{\text{ HCl}} = 2.55{\text{ }}({\text{d}}{{\text{m}}^3})\);
No ECF from (a) if formulas of Mg(OH)2 or Al(OH)3 are incorrect.
Allow integer values for atomic masses.
Award [2] for correct final answer.
(ii) amount of \({\text{CaC}}{{\text{O}}_3} = \left( {\frac{{1.000}}{{(40.08 + 12.01 + 48.00)}} = \frac{{1.000}}{{100.09}} = } \right){\text{ }}9.99 \times {10^{ - 3}}{\text{ (mol)}}\);
amount of HCl reacting \( = (2 \times 9.99 \times {10^{ - 3}}) = 2.00 \times {10^{ - 2}}{\text{ (mol)}}\) so volume of \(1.00 \times {10^{ - 2}}{\text{ HCl}} = 2.00{\text{ }}({\text{d}}{{\text{m}}^3})\);
Allow integer values for atomic masses.
Award [2] for correct final answer.
Penalize incorrect answer based on same units mistake once only in 12 (b) (i) and (ii).
Examiners report
Majority of the candidates were able to provide correct balanced equations for part (a) and score the three marks. Many were able to score one mark for completing the calculations in part (b)(i). The most common errors were using the incorrect value for the volume in step 2 or deducing the incorrect amount of HCl reacting. Most candidates performed well on part (b)(ii). For part (c) candidates lost the mark for stating it prevents flatulence.
Majority of the candidates were able to provide correct balanced equations for part (a) and score the three marks. Many were able to score one mark for completing the calculations in part (b)(i). The most common errors were using the incorrect value for the volume in step 2 or deducing the incorrect amount of HCl reacting. Most candidates performed well on part (b)(ii). For part (c) candidates lost the mark for stating it prevents flatulence.